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A159486
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Numerator of Hermite(n, 11/12).
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1
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1, 11, 49, -1045, -22079, 58091, 8587441, 69366539, -3565038335, -79170548149, 1439268811441, 72834751593131, -338718631136831, -66655130318970325, -416165794764599759, 62610547619111490251, 1138175082155994132481, -59607424953500501311861
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 6^n * Hermite(n,11/12).
E.g.f.: exp(11*x-36*x^2).
a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(11/6)^(n-2*k)/(k!*(n-2*k)!)). (End)
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MATHEMATICA
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PROG
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(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(11/6)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 12 2018
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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